Find the area of a regular hexagon inscribed in a circle of radius 8cm
A
16\(\sqrt{3}\) cm3
B
96\(\sqrt{3}\) cm3
C
192\(\sqrt{3}\) cm3
D
16\(\sqrt{3}\) cm2
E
33cm2
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Area of a regular hexagon = 8 x 8 x sin 60o
= 32 x \(\frac{\sqrt{3}}{2}\)
Area = 16\(\sqrt{3}\) x 6 = 96 \(\sqrt{3}\)cm2
Source: Myschool Past Questions Archive (Record #32266)